Instead of applying the perturbation method directly to the kernel, as it was done in Refs. [1]}, [2]}, [3]}, [4]}, [5]} for calculating the path probability, here we perform our perturbation analysis on the level of the LE. This will allow us not only to calculate the log ratio of the forward and backward path probabilities, but also to study the ST of the system for small values of \(\epsilon \) .
